One is 6 years old, one is 16 as per the rules. Now we have 5 unknowns, of which either the twins can be both a part of, or one can be either 6 or 16 as well.
Since the mode is the most frequently occurring number, let's assume that 15 years old appears twice to make it so.
Now we have one 6 y.o, two 15 y.os, and one 16 y.o.
Out of 7 kids, the middle child has to be 10 years old to secure the median.
Now we just have two missing, and we need to figure out the mean. 6+15+15+10+16 is 62, dividing by 5 is 12.4 The mean is currently 12.4 years old. For the mean to be 11, the combined total has to be 77 (since 77/7 kids is 11 mean) 77-62 is 15. But to make sure the median stays 10, both of those kids have to be less than 10 but more than 6. Therefore, their ages must be 7 and 8.
Their ages are 6, 7, 8, 10, 15, 15, 16
Let's double check to make sure we have all the qualifications. 7 kids, check. Youngest 6, check. Oldest 16, check. Twins, check. Median of 10, check. Mode of 15, check. Average of 11, well 6+7+8+10+15+15+16 is 77, 77/7 is 11, so check. Phew.
5+6 is 11 and 11-9 is 2
and also
6-9 is -3 and -3+5 is 2
so it is 2
Mean= is the summation of the maximum temperatures ÷ the numbers of times the temperatures where recorded
standard deviation= is a number used to tell how measurements for a group are spread out from the average (mean), or expected value.
A low standard deviation means that most of the numbers are very close to the average.
A high standard deviation means that the numbers are spread out.
Variance= is a way to measure how far a set of numbers is spread out.
A variance of zero indicates that all of the data values are identical. All non-zero variances are positive.
A small variance indicates that the data points tend to be very close to the mean, and to each other.
A high variance indicates that the data points are very spread out from the mean, and from one another.
Let's make another angle y
Where y= 51° (corresponding angles )
and x+y= 180°. ( linear pair )
x+51°= 180° (y=51°)
x=180°-51°
x= 129°
<u>So the value of x is 129</u>°
Hope you got your answer !
Answer:
c=7
Step-by-step explanation:
The problem says that 8 less than 4 times c is less than twenty, so we can first show 8 less than 20.
4c -( I did this because it said 4 times the number c)
Then, we show 8 less than that.
4c-8
It says it is twenty, and that means it equals twenty.
4c-8=20
Now we solve!
4c-8=20
+8 +8
*we add 8 to both sides*
4c=28
*we divide both sides by 4 since we want to isolate c*
c=28/4
c=7
I hope this helped!
